Traveling Wave Solutions and Conservation Laws for Nonlinear Evolution Equation
| dc.contributor.author | Inc, Mustafa | |
| dc.contributor.author | Yusuf, Abdullahi | |
| dc.contributor.author | Aliyu, Aliyu Isa | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2020-04-12T16:56:53Z | |
| dc.date.accessioned | 2025-09-18T15:44:44Z | |
| dc.date.available | 2020-04-12T16:56:53Z | |
| dc.date.available | 2025-09-18T15:44:44Z | |
| dc.date.issued | 2018 | |
| dc.description | Isa Aliyu, Aliyu/0000-0002-9756-7374; Inc, Mustafa/0000-0003-4996-8373; Yusuf, Abdullahi/0000-0002-8308-7943 | en_US |
| dc.description.abstract | In this work, the Riccati-Bernoulli sub-ordinary differential equation and modified tanh-coth methods are used to reach soliton solutions of the nonlinear evolution equation. We acquire new types of traveling wave solutions for the governing equation. We show that the equation is nonlinear self-adjoint by obtaining suitable substitution. Therefore, we construct conservation laws for the equation using new conservation theorem. The obtained solutions in this work may be used to explain and understand the physical nature of the wave spreads in the most dispersive medium. The constraint condition for the existence of solitons is stated. Some three dimensional figures for some of the acquired results are illustrated. Published by AIP Publishing. | en_US |
| dc.identifier.citation | Baleanu, Dumitru...et al. (2018). "Traveling Wave Solutions and Conservation Laws For Nonlinear Evolution Equation", Journal of Mathematical Physics, 59, No. 2. | en_US |
| dc.identifier.doi | 10.1063/1.5022964 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.issn | 1089-7658 | |
| dc.identifier.scopus | 2-s2.0-85042173311 | |
| dc.identifier.uri | https://doi.org/10.1063/1.5022964 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14359 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Physics | en_US |
| dc.relation.ispartof | Journal of Mathematical Physics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Traveling Wave Solutions and Conservation Laws for Nonlinear Evolution Equation | en_US |
| dc.title | Traveling Wave Solutions and Conservation Laws For Nonlinear Evolution Equation | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Isa Aliyu, Aliyu/0000-0002-9756-7374 | |
| gdc.author.id | Inc, Mustafa/0000-0003-4996-8373 | |
| gdc.author.id | Yusuf, Abdullahi/0000-0002-8308-7943 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Isa Aliyu, Aliyu/L-3765-2017 | |
| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
| gdc.author.wosid | Yusuf, Abdullahi/L-9956-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ogretmenler Cad 14, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey; [Yusuf, Abdullahi; Aliyu, Aliyu Isa] Fed Univ Dutse, Fac Sci, Dept Math, Jigawa 7156, Nigeria | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 59 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems | |
| gdc.oaire.keywords | tanh-coth method | |
| gdc.oaire.keywords | Nonlinear higher-order PDEs | |
| gdc.oaire.keywords | Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems | |
| gdc.oaire.keywords | Traveling wave solutions | |
| gdc.oaire.keywords | Riccati-Bernoulli sub-ordinary differential equation | |
| gdc.oaire.keywords | KdV equations (Korteweg-de Vries equations) | |
| gdc.oaire.keywords | Soliton solutions | |
| gdc.oaire.keywords | Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics | |
| gdc.oaire.keywords | Symmetries and conservation laws in mechanics of particles and systems | |
| gdc.oaire.keywords | General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations | |
| gdc.oaire.keywords | Geometric theory, characteristics, transformations in context of PDEs | |
| gdc.oaire.keywords | dispersive medium | |
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